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Simplifying 3(t + -6) + 8t = 7(3t + 3) + -10 Reorder the terms: 3(-6 + t) + 8t = 7(3t + 3) + -10 (-6 * 3 + t * 3) + 8t = 7(3t + 3) + -10 (-18 + 3t) + 8t = 7(3t + 3) + -10 Combine like terms: 3t + 8t = 11t -18 + 11t = 7(3t + 3) + -10 Reorder the terms: -18 + 11t = 7(3 + 3t) + -10 -18 + 11t = (3 * 7 + 3t * 7) + -10 -18 + 11t = (21 + 21t) + -10 Reorder the terms: -18 + 11t = 21 + -10 + 21t Combine like terms: 21 + -10 = 11 -18 + 11t = 11 + 21t Solving -18 + 11t = 11 + 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. -18 + 11t + -21t = 11 + 21t + -21t Combine like terms: 11t + -21t = -10t -18 + -10t = 11 + 21t + -21t Combine like terms: 21t + -21t = 0 -18 + -10t = 11 + 0 -18 + -10t = 11 Add '18' to each side of the equation. -18 + 18 + -10t = 11 + 18 Combine like terms: -18 + 18 = 0 0 + -10t = 11 + 18 -10t = 11 + 18 Combine like terms: 11 + 18 = 29 -10t = 29 Divide each side by '-10'. t = -2.9 Simplifying t = -2.9
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